{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a5bfb76e-84e0-4f56-a606-90c8477b4c1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import DBSCAN\n",
    "from sklearn.datasets import make_moons\n",
    "\n",
    "# 生成虚拟数据\n",
    "X, _ = make_moons(n_samples=200, noise=0.05, random_state=42)\n",
    "\n",
    "# 应用DBSCAN聚类算法\n",
    "dbscan = DBSCAN(eps=0.2, min_samples=5)\n",
    "clusters = dbscan.fit_predict(X)\n",
    "\n",
    "# 绘制聚类结果\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(X[:, 0], X[:, 1], c=clusters, cmap='viridis', s=50)\n",
    "plt.title('DBSCAN Clustering Validation')\n",
    "plt.savefig('图1_DBSCAN聚类算法验证.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1c28a4c9-7ec3-4412-9d08-70907ef41672",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.neighbors import NearestNeighbors\n",
    "\n",
    "# 计算k-Distance\n",
    "neigh = NearestNeighbors(n_neighbors=5)\n",
    "nbrs = neigh.fit(X)\n",
    "distances, indices = nbrs.kneighbors(X)\n",
    "distances = np.sort(distances, axis=0)\n",
    "distances = distances[:, 4]  # 取第五近邻的距离\n",
    "\n",
    "# 绘制k-Distance图\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(distances)\n",
    "plt.title('k-Distance Graph for eps')\n",
    "plt.xlabel('Data Points sorted by distance')\n",
    "plt.ylabel('Distance')\n",
    "plt.savefig('图2_k-Distance法确定eps值.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "27b9cf60-2c21-4397-be30-c4d74e649c0d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 假设已经有了电影受众的数据集和DBSCAN聚类的结果\n",
    "# 这里使用随机数据模拟\n",
    "import random\n",
    "\n",
    "# 模拟电影受众数据\n",
    "audience_data = np.random.rand(100, 2)  # 假设有100个受众，每个受众有两个特征\n",
    "\n",
    "# 应用DBSCAN聚类算法\n",
    "dbscan = DBSCAN(eps=0.3, min_samples=5)\n",
    "clusters = dbscan.fit_predict(audience_data)\n",
    "\n",
    "# 绘制聚类结果\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(audience_data[:, 0], audience_data[:, 1], c=clusters, cmap='viridis', s=50)\n",
    "plt.title('DBSCAN Clustering of Movie Audience')\n",
    "plt.savefig('图3_电影受众聚类结果.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c7a64f00-544f-4179-bbb2-de2ec156e97a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# 模拟电影评分数据\n",
    "data = {\n",
    "    'User': np.random.randint(1, 10, 100),\n",
    "    'Movie': np.random.randint(1, 20, 100),\n",
    "    'Rating': np.random.randint(1, 5, 100)\n",
    "}\n",
    "df = pd.DataFrame(data)\n",
    "\n",
    "# 计算电影类型对应的用户平均分\n",
    "movie_ratings = df.groupby('Movie')['Rating'].mean()\n",
    "\n",
    "# 绘制用户平均分分布图\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.bar(movie_ratings.index, movie_ratings.values)\n",
    "plt.title('Average Ratings by Movie')\n",
    "plt.xlabel('Movie')\n",
    "plt.ylabel('Average Rating')\n",
    "plt.savefig('图4_用户平均分分布.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "133de7ca-ab86-4b74-9fd6-2b4838be85f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 假设已经有了协同过滤算法的预测结果\n",
    "# 这里使用随机数据模拟\n",
    "predictions = np.random.rand(10)  # 假设有10个预测结果\n",
    "\n",
    "# 绘制预测结果\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.bar(range(10), predictions)\n",
    "plt.title('Collaborative Filtering Predictions')\n",
    "plt.xlabel('Movie Index')\n",
    "plt.ylabel('Predicted Rating')\n",
    "plt.savefig('图5_协同过滤算法评分预测结果.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5280183f-2a28-438b-b475-aef0610b9d94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 假设已经有了不同推荐算法的效果数据\n",
    "# 这里使用随机数据模拟\n",
    "methods = ['CF', 'Pop', 'Content']\n",
    "accuracies = np.random.rand(3)\n",
    "\n",
    "# 绘制推荐效果对比图\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.bar(methods, accuracies)\n",
    "plt.title('Recommendation Method Comparison')\n",
    "plt.xlabel('Method')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.savefig('图6_推荐效果对比.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9baf3f62-3f96-4789-a548-9bef32680a5b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
